Results 71 to 80 of about 1,035 (266)
Low dimensional Lie groups admitting left invariant flat projective or affine structures
We prove that any real Lie group of dimension ⩽5 admits a left invariant flat projective structure. We also prove that a real Lie group L of dimension ⩽5 admits a left invariant flat affine structure if and only if the Lie algebra of L is not ...
Kato, Hironao
core +1 more source
A hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control
Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao +2 more
wiley +1 more source
Projective dimension and commuting variety of a reductive Lie algebra
The commuting variety of a reductive Lie algebra $\mathfrak{g}$ is the underlying variety of a well defined subscheme of $\mathfrak{g}\times\mathfrak{g}$. In this note, it is proved that this scheme is normal and Cohen-Macaulay. In particular, its ideal of definition is a prime ideal. As a matter of fact, this theorem results from a so called Property (
openaire +2 more sources
$v$-projective symmetries of fibered manifolds [PDF]
summary:We prove that the set of the $v$-projective symmetries is a Lie ...
Tigăeru, Cătălin
core
Generalized projective representations for sl(n+1)
It is well known that n-dimensional projective group gives rise to a non-homogeneous representation of the Lie algebra sl(n + 1) on the polynomial functions of the projective space. Using Shen's mixed product for Witt algebras (also known as Larsson
Xu, Xiaoping, Zhao, Yufeng
core +1 more source
A‐optimal model‐based design of experiments for processes with uncertain inputs
Abstract Model‐based design of experiments (MBDoE) techniques are tools for selecting experimental conditions that enable accurate parameter estimation for mechanistic models. Most MBDoE approaches assume that the selected experimental conditions will be implemented perfectly, without uncertainties in the independent variables.
Bright Ofori +3 more
wiley +1 more source
Applying projective functors to arbitrary holonomic simple modules [PDF]
We prove that applying a projective functor to a holonomic simple module over a semisimple finite-dimensional complex Lie algebra produces a module that has an essential semisimple submodule of finite length.
Miemietz, Vanessa +5 more
core +3 more sources
Bayesian inverse ensemble forecasting for COVID‐19
Abstract Variations in strains of COVID‐19 have a significant impact on the rate of surges and on the accuracy of forecasts of the epidemic dynamics. The primary goal for this article is to quantify the effects of varying strains of COVID‐19 on ensemble forecasts of individual “surges.” By modelling the disease dynamics with an SIR model, we solve the ...
Kimberly Kroetch, Don Estep
wiley +1 more source
The representation ring of the structure group of the relative Frobenius morphism
Severitt M. The representation ring of the structure group of the relative Frobenius morphism.
Severitt, Markus
core
A partial envelope approach for modelling multivariate spatial‐temporal data
Abstract In the new era of big data, modelling multivariate spatial‐temporal data is a challenging task due to both the high dimensionality of the features and complex associations among the responses across different locations and time points.
Reisa Widjaja +3 more
wiley +1 more source

